🧮 algebra

1. **State the problem:** Simplify the expression $-10 - (-(-(3+x)))$. 2. **Understand the signs:** The expression has nested negatives. Recall that $-(-a) = a$.

1. **State the problem:** Solve the system of equations: $$\begin{cases} 2x + 3y - 2z = -1 \\ x + 5y = 9 \\ 4z - 5x = 4 \end{cases}$$

1. **Problem 4:** Lena is buying a soft toy costing 10 dollars with a 40% sales tax. We want to find equations that can be used to find the total amount paid. 2. The total amount p

1. **State the problem:** Simplify the expression $\left(\frac{1}{4} + \frac{1}{8} - \frac{1}{5}\right) \times \frac{4}{9}$.\n\n2. **Find a common denominator for the terms inside

1. **State the problem:** Simplify the expression $$\frac{\frac{8}{9} - \frac{2}{3} + \frac{5}{8}}{\frac{1}{3}}$$. 2. **Find a common denominator for the numerator:** The denominat

1. **State the problem:** We are given the line $y=\frac{2}{3}x - 1$ and a point $(3,4)$. We need to find the equation of the line perpendicular to the given line that passes throu

1. **State the problem:** Simplify the expression $3p^3 \cdot 3p^2$. 2. **Recall the multiplication rules for exponents:** When multiplying terms with the same base, multiply the c

1. Vamos resolver a equação do 2º grau: $x^2 - 5x + 6 = 0$. 2. A fórmula geral para resolver equações do 2º grau $ax^2 + bx + c = 0$ é:

1. The problem asks to select all equations NOT equivalent to $p - 7 = 22$. 2. Start with the original equation:

1. The problem is to find the value of $x$ that makes the equation $$42 \div x = 14$$ true. 2. The formula used here is the division equation: $$\frac{42}{x} = 14$$.

1. **State the problem:** Solve the equation $11w = 99$ for $w$. 2. **Formula and rules:** To solve for $w$, divide both sides of the equation by 11. Important rule: When dividing

1. The problem is to solve the equation $30 + f = 16$ for $f$. 2. We use the basic algebraic rule: to isolate $f$, subtract 30 from both sides.

1. State the problem: Which of the expressions below is equal to $10x + 30$? A) $10(x + 3)$ B) $9x + 24 + x + 6$ C) $16x + 40 - 8x - 20$ D) $5(x + 6)$. 2. Formula and important

1. The problem is to find the equation of the given parent graph, which resembles a square root function shifted horizontally and vertically. 2. The general form of a square root f

1. **Find the equation of the line through (13, 5) with slope $m = -2$.** The slope-intercept form is given by:

1. **State the problem:** Find the equation of the line in slope-intercept form $y=mx+b$ that passes through the point $(-5,4)$ with slope $m=3$. 2. **Recall the slope-intercept fo

1. **State the problem:** Find the equation of a line in slope-intercept form $y=mx+b$ that passes through the point $(5,5)$ with slope $m=-\frac{2}{7}$. 2. **Recall the slope-inte

1. The problem is to find the horizontal asymptote of the function $$f(x) = \frac{x^2 + 4x - 8}{x - 8}$$. 2. Horizontal asymptotes describe the behavior of a function as $$x \to \p

1. **State the problem:** Find the equations of the vertical asymptotes of the function $$f(x) = \frac{x^2 + 4x}{x^2 - 2x - 24}$$. 2. **Recall the rule for vertical asymptotes:** V

1. **State the problem:** Find the equation of a line in slope-intercept form $y=mx+b$ that passes through the point $(5,5)$ with slope $m=-\frac{5}{6}$. 2. **Recall the slope-inte

1. The problem asks us to insert brackets in the expression $4 \times 3 + 9 = 48$ so that the expression equals 48. 2. The original expression is $4 \times 3 + 9$.